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Elena L [17]
3 years ago
10

In the arithmetic sequence {13,6,−1,−8,…}, what is the common difference?

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0

Answer:

-7

Step-by-step explanation:

hello :

the common difference is : -8-(-1)=-1-6=6-13=-7

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Which situation is represented by the equation? 6n + 12 = 2n + 36
Romashka [77]
<span>6n+12=2n+36
We move all terms to the left:
6n+12-(2n+36)=0
We get rid of parentheses
6n-2n-36+12=0
We add all the numbers together, and all the variables
4n-24=0
We move all terms containing n to the left, all other terms to the right
4n=24
n=24/4
n=6</span>
3 0
3 years ago
you deposit $2000 in an account earning 6% interest compounded continuously. How much will you have in the account in 15 years?
Zielflug [23.3K]

Answer:

$4793.12

Step-by-step explanation:

The first step in working out the amount after 15 years is to convert the percentage of 6% to a decimal. You can do this by dividing 6 by 100, this gives you 0.06. This is because a percentage is out of 100.

The next step is to add 1 to the value of 0.06, this gives you 1.06. You would add 1 as you are working out a percentage increase.

The final step is to multiply the amount of $2000 by the value of 1.06 to the power of 15, this gives you 4793.12 (rounded to 2 decimal places). This is because we are working out the percentage of $2000 and then adding that on to be recaluclated  with the new amount.

1) Divide 6 by 100.

6/100=0.06

2) Add 1 to 0.06.

1+0.06=1.06

3) Multiply 2000 by 1.06 to the power of 15.

2000*1.06^{15}=4793.12

8 0
3 years ago
Find a similarity ratio is the ratio of perimeter's for to regular pentagons with areas of 16 cm Square and 49 cm Square
sweet [91]

Answer:

4 : 7

Step-by-step explanation:

Given 2 similar figures the if the ratio of perimeters = a : b

The the ratio of areas = a² : b²

Here

ratio of areas = 16 : 49 , then

ratio of perimeters = \sqrt{16} : \sqrt{49} = 4 : 7

5 0
3 years ago
Slope = 2/5 On a Graph
Anestetic [448]
Look at it as the rise/run. Go up positive 2 on the graph(y-axis) for every 5 that you go across on the graph. Over 5, up 2, over 5, up 2. Hope this helps
8 0
2 years ago
Mrs. Bonilla is a saleswoman at a furniture store. Her commission on rugs is 10% and her commission on furniture is 15%. Her goa
lara31 [8.8K]
<span>so here is how you can answer this: 

Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get, 

Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values, 
 
5000 =.1 * x + .15 * 12500.

Now it's a matter of finding for x. You should get, 

 x = $31,250.</span>
8 0
3 years ago
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